Mengoni, M and Ponthot, JP (2015) A generic anisotropic continuum damage model integration scheme adaptable to both ductile damage and biological damage-like situations. International Journal of Plasticity, 66. pp. 46-70. ISSN 0749-6419
Abstract
This paper aims at presenting a general versatile time integration scheme applicable to anisotropic damage coupled to elastoplasticity, considering any damage rate and isotropic hardening formulations. For this purpose a staggered time integration scheme in a finite strain framework is presented, together with an analytical consistent tangent operator. The only restrictive hypothesis is to work with an undamaged isotropic material, assumed here to follow a J2 plasticity model. The only anisotropy considered is thus a damage-induced anisotropy. The possibility to couple any damage rate law with the present algorithm is illustrated with a classical ductile damage model for aluminium, and a biological damage-like application. The later proposes an original bone remodelling law coupled to trabecular bone plasticity for the simulation of orthodontic tooth movements. All the developments have been considered in the framework of the implicit non-linear finite element code Metafor (developed at the LTAS/MN2L, University of Li`ege, Belgium - www.metafor.ltas.ulg.ac.be).
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2014, Elsevier. This is an author produced version of a paper published in International Journal of Plasticity. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Continuum damage mechanics; Anisotropic material; Elastic-plastic material; Constitutive behaviour; Numerical algorithms |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Medical and Biological Engineering (iMBE) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 09 Jun 2016 14:28 |
Last Modified: | 18 Jan 2018 01:17 |
Published Version: | http://dx.doi.org/10.1016/j.ijplas.2014.04.005 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.ijplas.2014.04.005 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:92647 |